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Books Books 1 - 10 of 11 on ... (1) For a given string and a given tension, the time varies as the length. This....  
" ... (1) For a given string and a given tension, the time varies as the length. This is the fundamental principle of the monochord, and appears to have been understood by the ancients1. (2) When the length of the string is given, the time varies inversely... "
The Theory of Sound - Page 182
by John William Strutt Baron Rayleigh - 1894 - 984 pages
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Elementary Treatise on Natural Philosophy, Part 4

Augustin Privat-Deschanel - Physics - 1873 - 1068 pages
...tension be altered, without change of length in the vibrating portion, the frequency of vibration varies as the square root of the tension. 3. Strings of the same length and tension have frequencies of vibration which are inversely as the square roots of their masses (or weights)....
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Elementary Treatise on Natural Philosophy, Part 4

Augustin Privat-Deschanel - 1873
...tension be altered, without change of length in the vibrating portion, the frequency of vibration varies as the square root of the tension. 3. Strings of the same length and tension have frequencies of vibration which are inversely as the square roots of their masses (or weights)....
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The theory of sound, Volume 1

John William Strutt (3rd baron Rayleigh.) - 1877
...Gleichungen, 78. 8 Dr Young, in his memoir of 1800, seems to have understood this matter quite correctly. He says, "At the same time, as M. Bernoulli has justly...by the method of dimensions, if it be assumed that T depends only on l, p, and T,. For, if the units of length, time and mass be denoted respectively...
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The Theory of Sound, Volume 1

John William Strutt Baron Rayleigh - Sound - 1877 - 984 pages
...respects a convenient and compendious method of considering the problem." 124.] MERSENNE'S LAWS. 139 (1) For a given string and a given tension, the time...by the method of dimensions, if it be assumed that T depends only on l, p, and T^ For, if the units of length, time and mass be denoted respectively by...
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Elementary Lessons on Sound ...

W. H. Stone - Music - 1879 - 191 pages
...When the length of the string is given, the vibration number varies directly, the time of vibration inversely, as the square root of the tension. 3. Strings...vibrate in times which are proportional to the square root of the linear density, the vibration number being in inverse ratio to this. The motions of a string...
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Elementary Treatise on Natural Philosophy

Augustin Privat-Deschanel - Electricity - 1882
...tension be altered, without change of length in the vibrating portion, the frequency of vibration varies as the square root of the tension. 3. Strings of the same length, stretched with the same forces, have frequencies of vibration which are inversely as the square roots...
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Elementary Treatise on Natural Philosphy: Sound and light

Augustin Privat-Deschanel - Physics - 1881
...tension be altered, without change of length in the vibrating portion, the frequency of vibration varies as the square root of the tension. 3. Strings of the same length and tension have frequencies of vibration which are inversely as the square roots of their masses (or weights)....
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Lecture Notes on Mechanics, Sound and Light

Henry Smith Carhart - Physics - 1890 - 132 pages
...the string, when the length alone is changed. 2. The vibration-frequency is directly proportional to the square root of the tension. 3. Strings of the same length, stretched with the same forces, vibrate with frequencies inversely as the square root of their masses...
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Elementary Treatise on Natural Philosophy: Sound and light

Augustin Privat-Deschanel - Physics - 1891
...tension be altered, without change of length in the vibrating portion, the frequency of vibration varies as the square root of the tension. 3. Strings of the same length, stretched with the same forces, have frequencies of vibration which are inversely as the square roots...
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The Theory of Sound, Volume 1

John William Strutt Baron Rayleigh - Sound - 1894 - 984 pages
...Glrichungen, 78. 2 Dr Young, in his memoir of 1800, seems to have understood this matter quite correctly. He says, " At the same time, as M. Bernoulli has justly...dimensions, if it be assumed that r depends only on I, p, and Tl. For, if the units of length, time and mass be denoted respectively by [L], [T], [M],...
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